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Finding the Fourth Proportional to 5,586.83, 7,709.25 and 3,229.73

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Solution

The fourth proportional to 5,586.83, 7,709.25 and 3,229.73 is: 4,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.83 : 7,709.25 = 3,229.73 : x
  2. Step 2: Convert to fraction form
    5,586.83/7,709.25 = 3,229.73/x
  3. Step 3: Cross multiply
    5,586.83x = 7,709.25 × 3,229.73
  4. Step 4: Simplify right side
    5,586.83x = 24,898,757.46
  5. Step 5: Solve for x
    x = 24,898,757.46/5,586.83
  6. Step 6: Final answer
    x = 4,456.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.